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29690540 = 22511197103
BaseRepresentation
bin111000101000…
…0101010101100
32001212102202122
41301100222230
530100044130
62540212112
7510236225
oct161205254
961772678
1029690540
1115839a40
129b3a038
1361c7189
143d2c24c
1529172e5
hex1c50aac

29690540 has 48 divisors (see below), whose sum is σ = 71608320. Its totient is φ = 10226880.

The previous prime is 29690533. The next prime is 29690579. The reversal of 29690540 is 4509692.

It is a self number, because there is not a number n which added to its sum of digits gives 29690540.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 629 + ... + 7731.

It is an arithmetic number, because the mean of its divisors is an integer number (1491840).

Almost surely, 229690540 is an apocalyptic number.

29690540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29690540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35804160).

29690540 is an abundant number, since it is smaller than the sum of its proper divisors (41917780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

29690540 is a wasteful number, since it uses less digits than its factorization.

29690540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7142 (or 7140 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 29690540 is about 5448.9026418170. The cubic root of 29690540 is about 309.6511511120.

The spelling of 29690540 in words is "twenty-nine million, six hundred ninety thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 836 1045 2090 4180 7103 14206 28412 35515 71030 78133 134957 142060 156266 269914 312532 390665 539828 674785 781330 1349570 1484527 1562660 2699140 2969054 5938108 7422635 14845270 29690540